Strength Training benefits every body, of every age, at every weight, and any goal.
It's great for beginners, excellent for oldies, awesome for pro's, good for the obese, and beneficial to the 'skinny fat'. Unless your goal is to become a slob, there is not a single goal, lifestyle, or life stage, at which strength training is not beneficial for you.
So YES! Start now! :)
While losing weight, up to about 20% of your "weight" loss can come from lost muscle tone. Muscle is expensive for your body to retain, so when you're at a calorie deficit, it's one of the things your body wants to lose.
Strength training allows you to minimise muscle loss, and ensure more of your "weight loss" comes from fat, rather than muscle. So yes absolutely, start right away - don't wait!
Deb, in New Zealand